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Finding the Fourth Proportional to 19,893, 29,817.64 and 8,199.84

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Solution

The fourth proportional to 19,893, 29,817.64 and 8,199.84 is: 12,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893 : 29,817.64 = 8,199.84 : x
  2. Step 2: Convert to fraction form
    19,893/29,817.64 = 8,199.84/x
  3. Step 3: Cross multiply
    19,893x = 29,817.64 × 8,199.84
  4. Step 4: Simplify right side
    19,893x = 244,499,877.18
  5. Step 5: Solve for x
    x = 244,499,877.18/19,893
  6. Step 6: Final answer
    x = 12,290.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.